If the ordered pair satisfies the system of equations above, what is one possible value of x ?

Question

Accepted Answer

The correct answer is either 0 or 3. For an ordered pair to satisfy a system of equations, both the x - and y -values of the ordered pair must satisfy each equation in the system. Both expressions on the right-hand side of the given equations are equal to y , therefore it follows that both expressions on the right-hand side of the equations are equal to each other: . This equation can be rewritten as , and then through factoring, the equation becomes . Because the product of the two factors is equal to 0, it can be concluded that either or , or rather, or . Note that 0 and 3 are examples of ways to enter a correct answer.

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